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131414133442230 = 23356137921052771
BaseRepresentation
bin11101111000010100111100…
…101111100000011010110110
3122020022001211220120100011000
4131320110330233200122312
5114211042121130122410
61143254453001224130
736452233506505452
oct3570247457403266
9566261756510130
10131414133442230
113896646a406891
12128a4b33492046
1358433b8320412
142464699899662
15102d5b33e9dc0
hex77853cbe06b6

131414133442230 has 128 divisors (see below), whose sum is σ = 357122381990400. Its totient is φ = 34378331299200.

The previous prime is 131414133442187. The next prime is 131414133442253. The reversal of 131414133442230 is 32244331414131.

131414133442230 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 413 + 3 + 4 + 4 + 2 + 230 = 666.

It is a super-3 number, since 3×1314141334422303 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4284256 + ... + 16768515.

It is an arithmetic number, because the mean of its divisors is an integer number (2790018609300).

Almost surely, 2131414133442230 is an apocalyptic number.

131414133442230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131414133442230 is an abundant number, since it is smaller than the sum of its proper divisors (225708248548170).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131414133442230 is a wasteful number, since it uses less digits than its factorization.

131414133442230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21053227 (or 21053221 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 131414133442230 its reverse (32244331414131), we get a palindrome (163658464856361).

The spelling of 131414133442230 in words is "one hundred thirty-one trillion, four hundred fourteen billion, one hundred thirty-three million, four hundred forty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 122 135 183 270 305 366 379 549 610 758 915 1098 1137 1647 1830 1895 2274 2745 3294 3411 3790 5490 5685 6822 8235 10233 11370 16470 17055 20466 23119 34110 46238 51165 69357 102330 115595 138714 208071 231190 346785 416142 624213 693570 1040355 1248426 2080710 3121065 6242130 21052771 42105542 63158313 105263855 126316626 189474939 210527710 315791565 378949878 568424817 631583130 947374695 1136849634 1284219031 1894749390 2568438062 2842124085 3852657093 5684248170 6421095155 7705314186 7979000209 11557971279 12842190310 15958000418 19263285465 23115942558 23937000627 34673913837 38526570930 39895001045 47874001254 57789856395 69347827674 71811001881 79790002090 115579712790 119685003135 143622003762 173369569185 215433005643 239370006270 346739138370 359055009405 430866011286 486719012749 718110018810 973438025498 1077165028215 1460157038247 2154330056430 2433595063745 2920314076494 4380471114741 4867190127490 7300785191235 8760942229482 13141413344223 14601570382470 21902355573705 26282826688446 43804711147410 65707066721115 131414133442230